Boundary-domain integral equations for Dirichlet diffusion problems with non-smooth coefficient

Simple item page
dc.contributor.authorFresneda-Portillo, Carlos
dc.contributor.authorWoldemicheal, Zenebe W.
dc.date.accessioned2023-04-17T17:28:16Z
dc.date.available2023-04-17T17:28:16Z
dc.date.issued2022-03-04
dc.description.abstractWe obtain a system of boundary-domain integral equations (BDIE) equivalent to the Dirichlet problem for the diffusion equation in non-homogeneous media. We use an extended version of the boundary integral method for PDEs with variable coefficients for which a parametrix is required. We generalize existing results for this family of parametrices considering a non-smooth variable coefficient in the PDE and source term in Hs-2(Ω), 1/2 < s < 3/2 defined on a Lipschitz domain. The main results concern the equivalence between the original BVP and the corresponding BDIE system, as well as the well-posedness of the BDIE system.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFresneda-Portillo, C., & Woldemicheal, Z. W. (2022). Boundary-domain integral equations for Dirichlet diffusion problems with non-smooth coefficient. Electronic Journal of Differential Equations, 2022(26), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16585
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNon-smooth coefficients
dc.subjectParametrix
dc.subjectLipschitz domain
dc.subjectDiffusion equation
dc.subjectBoundary-domain integral equations
dc.subjectMinimal wave speed
dc.titleBoundary-domain integral equations for Dirichlet diffusion problems with non-smooth coefficient
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
fresneda.pdf
Size:
366.59 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations